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Finding the Fourth Proportional to 307.89, 459.63 and 287.42

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Solution

The fourth proportional to 307.89, 459.63 and 287.42 is: 429.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.89 : 459.63 = 287.42 : x
  2. Step 2: Convert to fraction form
    307.89/459.63 = 287.42/x
  3. Step 3: Cross multiply
    307.89x = 459.63 × 287.42
  4. Step 4: Simplify right side
    307.89x = 132,104.56
  5. Step 5: Solve for x
    x = 132,104.56/307.89
  6. Step 6: Final answer
    x = 429.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.